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" If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal... "
The Elements of Geometry, Symbolically Arranged - Page 32
by Great Britain. Admiralty - 1846
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Plane Geometry

Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...an acute angle of the other, the remaining acute angles are equal. (See 114 and 48.) 117. THEOREM. If two triangles have two angles of the one equal to two angles of the other, the third angle of the first is equal to the third angle of the second. (See 110 and Ax. 2.) 118. THEOREM....
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Calendar of the University of Sydney

University of Sydney - 1906 - 738 pages
...HALF. PAPER A. — (Eucm>.) 1. Any two sides of a triangle are together greater than the third. 2. If two triangles have two angles of the one equal to two angles of the other respectively and one side equal, etc. Complete this enunciation and prove the theorem. If the diagonal...
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Calendar

University of Allahabad - 1907 - 528 pages
...other, each to each, and also the angles contained by these sides equal, the triangles are congruent. If two triangles have two angles "of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent....
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Plane and Solid Geometry

Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...an acute angle of the other, the remaining acute angles are equal. (See 114 and 48.) 117. THEOREM. If two triangles have two angles of the one equal to two angles of the other, the third angle of the first is equal to the third angle of the second. (See 110 and Ax. 2.) 118. THEOREM....
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Calendar

University of Allahabad - 1908 - 566 pages
...other, each to each, and also the angles contained by these sides equal, the triangles are congruent. If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent....
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Horses, Horsemen and Stable-management

Godfrey Bosvile - Horsemanship - 1908 - 316 pages
...then the angle opposite to the greater side shall be greater than the angle opposite to the less. 3. If two triangles have two angles of the one equal to two angles of the other, each to each, and the sides adjacent to the equal angles in each equal, then shall the triangles be equal in all respects....
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Books 3-9

Euclid - Mathematics, Greek - 1908 - 456 pages
...included by the proportional sides must be either equal or unequal. If they are equal, then, since the triangles have two angles of the one equal to two angles of the other, respectively, they are equiangular to one another. We have therefore only to consider the case in which...
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Calendar, Part 3

University of Calcutta - 1908 - 562 pages
...PHANINDBALAL GANGULI, MA (^ ,, SUBENDBANATH CHATTEBJEE, MA The figures in the margin indicate full marks. 1. If two triangles have two angles of the one equal to two angles 8 of the other, each to each, and a side of one equal to a side of the other, these sides being opposite...
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A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 286 pages
...together equal to four right angles. 46 THEOREM 17. [Euc. I. 26.] If two triangles have two angles of one equal to two angles of the other, each to each, and any side of the first equal to the corresponding side of the other, the triangles are equal in all...
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Henley's Encyclopędia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - Engineering - 1909 - 560 pages
...the base of that which has the greater angle shall be greater than the base of the other. (Prop. 24.) If two triangles have two angles of the one equal...other, each to each, and one side equal to one side, namely either the sides adjacent to the equal angles in each, or the sides opposite to them, then shall...
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